# A translation of A.A.Vinogradov's "On the free product of ordered groups"

## TL;DR

This paper translates Vinogradov's 1949 work demonstrating that the free product of two ordered groups can be endowed with an order, extending the understanding of ordered group constructions.

## Contribution

It provides the first English translation of Vinogradov's proof that free products of ordered groups are themselves orderable.

## Key findings

- Proves free products of ordered groups are orderable
- Includes minor corrections to the original proof
- Highlights significance for ordered group theory

## Abstract

This is a translation from Russian of the article by A.A.Vinogradov: On the free product of ordered groups, Mat. Sb. (N.S.), 1949, Volume 25(67), Number 1, 163-168. The main result is that the free product of two ordered groups is orderable. Minor corrections were made and highlighted in footnotes.